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Finding the Third Proportional to 198,261 and 299,229

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Solution

The third proportional to 198,261 and 299,229 is: 451,616.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,261 : 299,229 = 299,229 : x
  2. Step 2: Convert to fraction form
    198,261/299,229 = 299,229/x
  3. Step 3: Cross multiply
    198,261x = 299,229 × 299,229
  4. Step 4: Simplify right side
    198,261x = 89,537,994,441
  5. Step 5: Solve for x
    x = 89,537,994,441/198,261
  6. Step 6: Final answer
    x = 451,616.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.